Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
We introduce invariants of control-affine systems which we call curvatures. They are defined by the drift and the control distribution, given by the system. The curvatures allow us to analyse the variational equation along a given trajectory, as well as existence of conjugate points.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
1375--1391
Opis fizyczny
Bibliogr. 6 poz.
Twórcy
autor
- Institute of Mathematics, Polish Academy of Sciences, 00-956 Warsaw, Śniadeckich 8, Poland, b.jakubczyk@impan.gov.pl
Bibliografia
- AGRACHEV A. A. and SACHKOV, Yu.L. (2004) Control Theory from the Geometric Viewpoint. Springer- Verlag, New York.
- BONNARD, B. and CHYBA, M. (2003) Singular Trajectories and their Role in Control Theory. Mathématiques & Applications 40, Springer- Verlag, New York.
- BONNARD, B. and KUPKA, I. (1993) Théorie des sigularités de l’application entrée/sortie et optimalité des trajectoires singulières dans le problème du temps minimal. Forum Math. 5, 11-159.
- HARTMAN, P. (1964) Ordinary Differential Equations. John Wiley & Sons, New York.
- JAKUBCZYK, B. and KRYŃSKI, W. (2009) Vector fields with distributions and geometry of ODE’s (preprint).
- KRYŃSKI W. (2008) Equivalence problems for tangent distributions and ordinary differential equations. PhD Thesis, Institute of Mathematics, Polish Academy of Sciences, Warszawa (in Polish).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0046-0021